Answer:
Step-by-step explanation:
<u>Statement 1</u>:
True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.
<u>Statement 2</u>:
True - These two angles are vertical angles (opposite to each other at intersection of two lines). All vertical angles are equal.
<u>Statement 3</u>:
False - These two angles are vertical and therefore are equal. Thus, they cannot have a difference of 105.
<u>Statement 4</u>:
False - Two of these angles form one side of a line which is equal to 180 degrees. Since the third angle is greater than zero, they cannot all add up to 180 degrees.
<u>Statement 5</u>:
True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.
<u>Statement 6</u>:
False - These two angles are supplementary (add up to 180 degrees) because they form one side of a line and therefore cannot be equal to 105.